A treatise of mechanics, tr., and elucidated with notes, by H.H. Harte, Volume 1 |
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Other editions - View all
A Treatise Of Mechanics, Tr., And Elucidated With Notes, By H.h. Harte Siméon Denis Poisson No preview available - 2023 |
A Treatise of Mechanics, Tr., and Elucidated with Notes, by H.H. Harte Simeon Denis Poisson No preview available - 2015 |
A Treatise of Mechanics, Tr., and Elucidated with Notes, by H.H. Harte Simeon Denis Poisson No preview available - 2015 |
Common terms and phrases
accelerating force angle applied assumed attraction axes axes of x axis centre of gravity centrifugal force coefficient components consequently constant arbitraries coordinates cos² cycloid deduced denote density described determine differential distance drawn earth ellipse ellipsoid equal to cypher equations of equilibrium equilibrium expression fixed point force Q force which acts formula function given forces given surface hence infinitely small quantities initial velocity instant integral law of Kepler length let fall lever likewise mass material point means motion moveable obtain oscillations osculating plane parallel forces pendulum perihelion perpendicular plane point of application positive preceding equation production projection radius vector rection respect resultant right line sin² solid body stratum substituted supposed tang tangent theorem tion trajectory triangle velocity vertical weight x₁ y₁
Popular passages
Page 335 - The orbit of every planet is an ellipse, of which the sun occupies one of the foci. (3.) The squares of the times of revolution...
Page 249 - This amounts to the same with saying, that, in the case before us, the sine of the angle of incidence is to the sine of the angle of refraction in a given ratio.
Page 65 - ... directions of the forces sensibly parallel : whence we must conclude, that the line of direction of the resultant of two parallel forces is in the plane of the forces, is parallel to the direction of the forces, and that the moment of the resultant, taken in reference to any point in the plane of the forces, is equal to the sum or difference of the moments of the components, according as they tend to turn the system in the same or opposite directions about the centre of moments.
Page 36 - ... opposite direction, and it will act in the direction of the greater of these sums. This is the case in which several forces are exerted in the direction of the same cord. The tension of the cord will be the same throughout, and it is not possible to draw its two ends with different efforts. The tension of a cord is the effort by which any two of tension of a cord...
Page 385 - Mariners 6 and 7 have been used to obtain values for the ratio of the mass of the Earth to that of the Moon which are in substantial agreement with those determined from other Mariner and Pioneer spacecraft.
Page 288 - U> three different cases : 1. The weight of the body may exceed the weight of the fluid displaced, or in other words, the mean density of the body may be greater than that of the fluid, in this case the body sinks. 2. The weight of the body may be less than that...
Page 201 - ... by an ether diffused through space ; but if so, how happens it that the planets also have not been retarded ? This the author attempted to show might be the case, although the phenomenon might pass unobserved.
Page 108 - ... we can shew that CG is equal to AG ; therefore BG is equal to AG. Then if we draw a straight line from G to the middle point of AB we can shew that this straight line is at right angles to AB : that is, the line which bisects AB at right angles passes through G. 25.
Page 215 - If two forces acting at a point be represented in magnitude and direction by the sides of a parallelogram, the resultant of these two forces will be represented in magnitude and direction by the diagonal of the parallelogram passing through this point.
Page 163 - ... side by side with the ecclesiastical system. A decisive step was taken in 1370 by Charles V of France when he ordered all churches in Paris to ring the hours and quarters according to time by de Vick's clock, and from that time the equal hours became more common. The division of the hour into 60 minutes and of the minute into 60 seconds also came into general use in the i4th century and was fairly common as early as 1345.